Masahito Hayashi's A Group Theoretic Approach to Quantum Information PDF

By Masahito Hayashi

This ebook is the 1st one addressing quantum info from the perspective of team symmetry. Quantum structures have a bunch symmetrical constitution. This constitution allows to deal with systematically quantum info processing. although, there's no different textbook concentrating on team symmetry for quantum info even though there exist many textbooks for team illustration. After the mathematical coaching of quantum info, this ebook discusses quantum entanglement and its quantification by utilizing staff symmetry. workforce symmetry tremendously simplifies the calculation of numerous entanglement measures even supposing their calculations tend to be very tough to deal with. This booklet treats optimum details approaches together with quantum kingdom estimation, quantum nation cloning, estimation of crew motion and quantum channel and so forth. frequently it's very tricky to derive the optimum quantum info methods with out asymptotic atmosphere of those issues. even though, team symmetry permits to derive those optimum strategies with out assuming the asymptotic atmosphere. subsequent, this ebook addresses the quantum errors correcting code with the symmetric constitution of Weyl-Heisenberg teams. This constitution ends up in comprehend the quantum errors correcting code systematically. eventually, this e-book makes a speciality of the quantum common details protocols by utilizing the gang SU(d). This subject will be considered as a quantum model of the Csiszar-Korner's common coding concept with the sort technique. the necessary mathematical wisdom approximately crew illustration is summarized within the spouse e-book, workforce illustration for Quantum Theory. 

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A Group Theoretic Approach to Quantum Information by Masahito Hayashi

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